代数曲线上线丛的弱全纯截面的等分布
复变函数
2020-12-29 v1
摘要
我们证明了与代数曲线上奇异Hermitian全纯线丛相关的全纯与弱全纯截面的各类Bergman空间的归一化Fubini-Study测度及Bergman核对数的收敛性。利用此结论，我们研究了这些空间中截面的随机序列零点之渐近分布。
引用
@article{arxiv.2012.14343,
title = {Equidistribution for weakly holomorphic sections of line bundles on algebraic curves},
author = {Dan Coman and George Marinescu},
journal= {arXiv preprint arXiv:2012.14343},
year = {2020}
}
备注
21 pages; Dedicated to Professor Ahmed Zeriahi on the occasion of his retirement